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Finding the Fourth Proportional to 370,416.48, 554,760.83 and 314,057.49

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Solution

The fourth proportional to 370,416.48, 554,760.83 and 314,057.49 is: 470,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,416.48 : 554,760.83 = 314,057.49 : x
  2. Step 2: Convert to fraction form
    370,416.48/554,760.83 = 314,057.49/x
  3. Step 3: Cross multiply
    370,416.48x = 554,760.83 × 314,057.49
  4. Step 4: Simplify right side
    370,416.48x = 174,226,792,524.91
  5. Step 5: Solve for x
    x = 174,226,792,524.91/370,416.48
  6. Step 6: Final answer
    x = 470,353.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.